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11923840 = 27531601
BaseRepresentation
bin101101011111…
…000110000000
3211102210102201
4231133012000
511023030330
61103322544
7203231245
oct55370600
924383381
1011923840
116804615
123bb0454
132616436
1418255cc
1510a7eca
hexb5f180

11923840 has 64 divisors (see below), whose sum is σ = 29473920. Its totient is φ = 4608000.

The previous prime is 11923831. The next prime is 11923861. The reversal of 11923840 is 4832911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11923799 and 11923808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19540 + ... + 20140.

It is an arithmetic number, because the mean of its divisors is an integer number (460530).

Almost surely, 211923840 is an apocalyptic number.

11923840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736960).

11923840 is an abundant number, since it is smaller than the sum of its proper divisors (17550080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11923840 is an equidigital number, since it uses as much as digits as its factorization.

11923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 11923840 is about 3453.0913686145. The cubic root of 11923840 is about 228.4574789164.

The spelling of 11923840 in words is "eleven million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 601 620 640 992 1202 1240 1984 2404 2480 3005 3968 4808 4960 6010 9616 9920 12020 18631 19232 19840 24040 37262 38464 48080 74524 76928 93155 96160 149048 186310 192320 298096 372620 384640 596192 745240 1192384 1490480 2384768 2980960 5961920 11923840